Design, Optimization and Simulation of a New Decoder for Reed Solomon and BCH Codes using the New Syndromes Block

Abstract

In this paper, a new syndrome block for Reed Solomon RS and BCH codes used respectively in digital Video broadcasting DVB-S and DVB-S2 has been presented in order to reduce the number of iterations compared to the existed block, which can be found in the literature, the new method is based on a factorization of the equation corresponds to the syndrome block, which allows us to conceive another circuit. However, this reduction can approximately attain 40%. First, we developed and concepted the design of the proposed algorithm. Second, we transformed the circuits on hardware description language VHDL and finally we generated and simulated the basic and proposed algorithms using Quartus software tools.